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34003 = 37919
BaseRepresentation
bin1000010011010011
31201122101
420103103
52042003
6421231
7201064
oct102323
951571
1034003
1123602
1217817
1312628
14c56b
15a11d
hex84d3

34003 has 4 divisors (see below), whose sum is σ = 34960. Its totient is φ = 33048.

The previous prime is 33997. The next prime is 34019. The reversal of 34003 is 30043.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 30043 = 132311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34003 is a prime.

It is a Duffinian number.

34003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (34033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (8740).

234003 is an apocalyptic number.

34003 is a deficient number, since it is larger than the sum of its proper divisors (957).

34003 is an equidigital number, since it uses as much as digits as its factorization.

34003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 34003 is about 184.3990238586. The cubic root of 34003 is about 32.3970708118.

Adding to 34003 its reverse (30043), we get a palindrome (64046).

It can be divided in two parts, 3400 and 3, that added together give a triangular number (3403 = T82).

The spelling of 34003 in words is "thirty-four thousand, three".

Divisors: 1 37 919 34003